88068464870400 has 3465 divisors, whose sum is σ = 401535904316349. Its totient is φ = 19070464573440.

The previous prime is 88068464870387. The next prime is 88068464870461. The reversal of 88068464870400 is 407846486088.

The square root of 88068464870400 is 9384480.

It is a perfect power (a square), and thus also a powerful number.

88068464870400 is a `hidden beast` number, since 8 + 8 + 0 + 68 + 464 + 8 + 70 + 40 + 0 = 666.

88068464870400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 31704647353344 + 56363817517056 = 5630688^2 + 7507584^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 314 ways as a sum of consecutive naturals, for example, 4635182361591 + ... + 4635182361609.

Almost surely, 2^{88068464870400} is an apocalyptic number.

88068464870400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

88068464870400 is the 9384480-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88068464870400

88068464870400 is an abundant number, since it is smaller than the sum of its proper divisors (313467439445949).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

88068464870400 is an frugal number, since it uses more digits than its factorization.

88068464870400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 66060288, while the sum is 63.

The spelling of 88068464870400 in words is "eighty-eight trillion, sixty-eight billion, four hundred sixty-four million, eight hundred seventy thousand, four hundred".